5. Find the domain of the following functions D(x) = 4-logs(9-x*) a.
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
5. Find the derivatives of the following functions: (a) f(x) = 3" sin?(5x)
for the functions In(x) and e x, calculate separately each of the first non-zero terms of the Taylor series for the function, expanded around the point a 1
for the functions In(x) and e x, calculate separately each of the first non-zero terms of the Taylor series for the function, expanded around the point a 1
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For f(x) = x? and g(x)=x² +5, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
Compute the first three non-zero terms of the Taylor series for
the functions:
Q.1 [10 Marks] Compute the first three non-zero terms of the Taylor series for the functions: (a) (i) f(x)-In( 1 ) about a-0 where Ir < 1 (Hint: In(it)-In(1+z)-In(1-r)) (ii) From your result in (i) find ËIn(쁩) dt Page: 1 of3 MAT1841 Assignment 2 2019 Continuous Mathematics for Computer Science 3 +3+4-10 (c) h(z) = exp (sin r) about a = 픔
Q.1 [10 Marks] Compute the...
Find the indicated composition of functions. f(x)= x² + 4, g(x) = 2x - 5, (fog)(x) = ? off g)(x) = 2x3 - 5x2 + 8x - 20 off g)(x) = 4x2 + 29 og)(x) = 2x2 + 3 of g)(x) = 4x2 - 20x + 29 O(g)(x) = 4x2.21
Are the functions fi (x) = ex+4 and fz(x-er-5 linearly dependent or independent? A. Linearty dependent OB. Linearly independent Which of the following best describes the correct choice for part (a)? (Carefull) 0 A. Since the only solution to cfı + c/2 = 0 is ci = c2-0. B. Since the Wronskian equals zero for at least one x on (-o, o). C. Since the Wronskian never equals zero on (-oo, oo). D. Since the functions are scalar multiples of...